5472
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 16380
- Proper Divisor Sum (Aliquot Sum)
- 10908
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 114
- Omega Function (Ω)
- 8
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 129
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of circulant tournaments on 2n+1 nodes up to Cayley isomorphism.at n=16A002086
- Susceptibility series for b.c.c. lattice.at n=14A003194
- [ n(n-1)(n-2)(n-3)/17 ].at n=19A011927
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (4,k)-perfect numbers.at n=37A019293
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=33A024974
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=32A025400
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=30A026035
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 35.at n=33A031533
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=34A034379
- Coordination sequence for lattice D*_16 (with edges defined by l_1 norm = 1).at n=3A035477
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 5).at n=39A035553
- Number of points of L1 norm 3 in cubic lattice Z^n.at n=16A035597
- Coordination sequence for 16-dimensional cubic lattice.at n=3A035711
- Number of nonisomorphic circulant tournaments, i.e., Cayley tournaments for cyclic group of order 2n-1.at n=17A049288
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=44A050772
- Numbers k that divide sigma(k) + d(k), where d(k) is the number of divisors of k and sigma(k) is their sum.at n=8A056076
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=31A059329
- Successive maxima in sequence A060457.at n=39A061011
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 3.at n=14A068010
- Number of subsets of {1,2,3,...,n} that sum to 0 mod 6.at n=15A068012